Three times the larger of 2 consecutive even intergers, decreased by the smaller is 58. Find the numbers.

Find 3 consecutive intergers such that the sum of the first two is 74 more than the third.

A pipe is 48 inches long. David wants to cut the pipe into three pieces so that the second piece is 1 inch less than the length of the third. The first piece is 5 times as long as the third. How long is each piece?

Ron runs a ski train. One day he noticed that the train contained 13 more women than men *including himself*. If there were a total of 165 people on the train, how many of them were men?

Oct 14th 2007, 08:47 AM

Jhevon

Quote:

Originally Posted by amy07

Solve For b: ax(squared) + bx+c=y.

this means that we want to get b on one side of the equation by itself. so get rid of everything on the same side with b.

.......subtract from both sides

.........now if we can divide by it.

Quote:

Three times the larger of 2 consecutive even intergers, decreased by the smaller is 58. Find the numbers.

Let be the smallest even integer.
Then is the next even integer.

we are told that 3 times , subtracting the smaller is 58. thus,

now solve for so you can find the integers.

Quote:

Find 3 consecutive intergers such that the sum of the first two is 74 more than the third.

Let the first integer be
then the next is
and the largest is

the sum of the first two is 74 + the third. thus,

now solve for to find the integers

Quote:

A pipe is 48 inches long. David wants to cut the pipe into three pieces so that the second piece is 1 inch less than the length of the third. The first piece is 5 times as long as the third. How long is each piece?

Let be the length of the first piece,
Let be the length of the second piece,
Let be the length of the third piece,

then we have .................(1)

since the second piece is 1 inch less than the length of the third, we have: